Using Sliders to Modify Parameters

Let’s try out a more dynamic way of exploring the impact of a parameter on a quadratic polynomial f(x) = a * x^2 + b by using sliders to modify the parameter values.

Instructions

1.Toolbar Image Create a variable a = 1. Note: The variable is displayed automatically as a slider in the Algebra View.
2. Display the variable a as a slider in the Graphics View. Hint: Click on the Show / Hide icon next to number a in the Algebra View.
3.Toolbar Image Enter the quadratic polynomial f(x) = a * x^2. Hint: Don’t forget to enter an asterisk * or space between a and x^2.
4.Toolbar Image Change the slider value to a = 2 by dragging the point on the line and watch how this influences the function graph.
5.Toolbar ImageCreate a slider b using the Slider tool. Hint: Activate the tool and click on the Graphics View. Use the default settings and select Apply.
6.Toolbar ImageEnter the polynomial f(x) = a * x^2 + b. Hint: GeoGebra will overwrite the old function f with the new definition.
7.Toolbar ImageChange the values of sliders a and b and explore, how this affects the graph of the new polynomial.

Try it yourself...